Question

(a) What is the acceleration due to gravity on the surface of the Moon?
(b) On the surface of Mars?
The mass of Mars is 6.418×1023kg and its radius is 3.38×106m .

Answer 1

a)  Acceleration due to gravity on the surface of the Moon is 1.64 m/s²

b) Acceleration due to gravity on the surface of the Mars is 3.75 m/s²

Explanation:

a) Acceleration due to gravity

                  $g=\frac{GM}{r^2}$

         G = 6.67 × 10⁻¹¹ m² kg⁻¹ s⁻²

  Mass of moon, M = 7.35 × 10²² kg

  Radius of moon, r = 1.73 × 10⁶ m

  Substituting

                  $g=\frac{6.67\times 10^{-11}\times 7.35\times 10^{22}}{(1.73\times 10^{6})^2}=1.64m/s^2$

Acceleration due to gravity on the surface of the Moon is 1.64 m/s²

b) Acceleration due to gravity

                  $g=\frac{GM}{r^2}$

         G = 6.67 × 10⁻¹¹ m² kg⁻¹ s⁻²

  Mass of Mars, M = 6.418 × 10²³ kg

  Radius of Mars, r = 3.38 × 10⁶ m

  Substituting

                  $g=\frac{6.67\times 10^{-11}\times 6.418\times 10^{23}}{(3.38\times 10^{6})^2}=3.75m/s^2$

Acceleration due to gravity on the surface of the Mars is 3.75 m/s²